#### QUESTION

Write the negation of the following.

If ∆ABC is not equilateral, then it is not equiangular.

#### SOLUTION

Let p : ∆ ABC is not equilateral.

q : ∆ ABC is not equiangular.

The given statement is p → q.

Its negation is ~(p → q) ≡ p ∧ ~ q

∴ The negation of given statement is '∆ ABC is not equilateral and it is equiangular'.